Question

Solve for w.
5W + 9z = 2z + 3w
w=-7/2 z
w=-2/7 z
w=-2z
w= -7z

Answer 1

Answer:

w = - $\frac{7}{2}$ z

Step-by-step explanation:

Given

5w + 9z = 2z + 3w ( subtract 3w from both sides )

2w + 9z = 2z ( subtract 9z from both sides )

2w = - 7z ( divide both sides by 2 )

w = - $\frac{7}{2}$ z

Answer 2

Answer:

w = -7/2z

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right  

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

5w + 9z = 2z + 3w

Step 2: Solve for w

1. [Subtraction Property of Equality] Subtract 3w on both sides:                      2w + 9z = 2z
2. [Subtraction Property of Equality] Subtract 9z on both sides:                      2w = -7z
3. [Division Property of Equality] Divide 2 on both sides:                                  w = -7/2z